Average Error: 0.0 → 0.0
Time: 4.2s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{1}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{1}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r136399 = x;
        double r136400 = cos(r136399);
        double r136401 = y;
        double r136402 = sinh(r136401);
        double r136403 = r136402 / r136401;
        double r136404 = r136400 * r136403;
        return r136404;
}
↓
double f(double x, double y) {
        double r136405 = x;
        double r136406 = cos(r136405);
        double r136407 = 1.0;
        double r136408 = y;
        double r136409 = sinh(r136408);
        double r136410 = r136408 / r136409;
        double r136411 = r136407 / r136410;
        double r136412 = r136406 * r136411;
        return r136412;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\cos x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied clear-num0.0

    \[\leadsto \cos x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]

  4. Final simplification0.0

    \[\leadsto \cos x \cdot \frac{1}{\frac{y}{\sinh y}}\]

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))